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Finding the Fourth Proportional to 12,710.57, 19,065.91 and 7,091.71

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Solution

The fourth proportional to 12,710.57, 19,065.91 and 7,091.71 is: 10,637.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,710.57 : 19,065.91 = 7,091.71 : x
  2. Step 2: Convert to fraction form
    12,710.57/19,065.91 = 7,091.71/x
  3. Step 3: Cross multiply
    12,710.57x = 19,065.91 × 7,091.71
  4. Step 4: Simplify right side
    12,710.57x = 135,209,791.55
  5. Step 5: Solve for x
    x = 135,209,791.55/12,710.57
  6. Step 6: Final answer
    x = 10,637.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.